On prime factors of sums of integers I
On prime factors of sums of integers III
On prime values of reducible quadratic polynomials
It is shown that Dickson’s Conjecture about primes in linear polynomials implies that if f is a reducible quadratic polynomial with integral coefficients and non-zero discriminant then for every r there exists an integer such that the polynomial represents at least r distinct primes.
On prime-detecting sequences from Apéry's recurrence formulae for and .
On Rowland's sequence.
On square values of the product of the Euler totient and sum of divisors functions
If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m ≤ n. We put m = n-a and we study the positive integers a arising in this way.
On the complexity of testing elite primes.
On the converse of Wolstenholme's Theorem
On the exact number of primes in the arithmetic progression 4n ... 1 and 6n ... 1.
On the Fermat periods of natural numbers.
On the greatest prime factor of
On the greatest prime factors of polynomials at integer points
On the -th extension of the sieve of Eratosthenes.
On the largest prime factors of n and n+1.
On the largest prime factors of n and n+1. (Short Communication).
On the number of prime divisors of a binomial coefficient.
On the quartic character of quadratic units.
On the set of values of the Euler function.
On the subsequence of primes having prime subscripts.
Partial sums of powers of prime factors.